Solving system of nonlinear matrix equations over Hermitian positive definite matrices

被引：10

作者：

Erfanifar, Raziyeh ^{[1
]}

Sayevand, Khosro ^{[1
]}

Hajarian, Masoud ^{[2
]}

机构：

[1] Malayer Univ, Fac Math & Stat, Malayer, Iran

[2] Shahid Beheshti Univ, Fac Math Sci, Dept Appl Math, Tehran, Iran

来源：

LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 04期

关键词：

System of nonlinear matrix equations; iterative method; Hermitian positive definite solution; inversion-free iteration method; EXISTENCE; ITERATION;

D O I：

10.1080/03081087.2022.2038058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we first introduce the necessary and sufficient conditions for the existence of the Hermitian positive definite solution group of a system of nonlinear matrix equations [GRAPHICS] . Then we propose an inversion-free iteration method to find the Hermitian positive definite solution group of the system of nonlinear matrix equations. Finally, the accuracy and effectiveness of the proposed method in compare to some existing algorithms are demonstrated by various numerical examples.

引用

页码：597 / 630

页数：34

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